### Abstract

M. S. Howe [J. Fluid Mech. 206, 131 (1989)] presented integral formulas for the force and torque on a rigid body that permit the identification of the separate influences of added mass, normal stresses induced by free vorticity, and viscous skin friction. Here a simple extension of Howe's formulas is done for systems of several rigid bodies. The goal is to separate these effects on each rigid body. These new formulas may help in understanding the hydrodynamic interaction between bodies. As an example, the interaction forces on a pair of bubbles rising at high Reynolds number side by side are computed.

Original language | English (US) |
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Article number | 057108 |

Journal | Physics of Fluids |

Volume | 19 |

Issue number | 5 |

DOIs | |

State | Published - May 2007 |

### ASJC Scopus subject areas

- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes

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## Cite this

Ragazzo, C. G., & Tabak, E. (2007). On the force and torque on systems of rigid bodies: A remark on an integral formula due to Howe.

*Physics of Fluids*,*19*(5), [057108]. https://doi.org/10.1063/1.2730481